12109046400 has 960 divisors, whose sum is σ = 50687112960. Its totient is φ = 2820096000.

The previous prime is 12109046393. The next prime is 12109046441. The reversal of 12109046400 is 464090121.

12109046400 is a `hidden beast` number, since 1 + 2 + 10 + 9 + 0 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 88387132 + ... + 88387268.

It is an arithmetic number, because the mean of its divisors is an integer number (52799076).

Almost surely, 2^12109046400 is an apocalyptic number.

12109046400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12109046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25343556480).

12109046400 is an abundant number, since it is smaller than the sum of its proper divisors (38578066560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12109046400 is a wasteful number, since it uses less digits than its factorization.

12109046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 12109046400 in words is "twelve billion, one hundred nine million, forty-six thousand, four hundred".